I just moved home and lost my creative inspire 4.1 4400 sound control unit. I looked online to find it and didn't find any, also did some search and came to know that Creative doesn't provide these spares. Please help me build it or an alternative, till then my PC sound is as good as dead.

Is there a way to just connect some wires together and get the device to turn on and running?

Probably, yes. Ignore the wires which go to the resistor, LED and switch - all they do is light the LED. Connect the input (top of pot) to output (pot slider). Connect the input ground to output ground.